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Finding the Fourth Proportional to 161,344.80, 242,020.32 and 58,758.24

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Solution

The fourth proportional to 161,344.80, 242,020.32 and 58,758.24 is: 88,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,344.80 : 242,020.32 = 58,758.24 : x
  2. Step 2: Convert to fraction form
    161,344.80/242,020.32 = 58,758.24/x
  3. Step 3: Cross multiply
    161,344.80x = 242,020.32 × 58,758.24
  4. Step 4: Simplify right side
    161,344.80x = 14,220,688,047.44
  5. Step 5: Solve for x
    x = 14,220,688,047.44/161,344.80
  6. Step 6: Final answer
    x = 88,138.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.